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Finding the Fourth Proportional to 166.38, 229.73 and 133.78

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Solution

The fourth proportional to 166.38, 229.73 and 133.78 is: 184.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.38 : 229.73 = 133.78 : x
  2. Step 2: Convert to fraction form
    166.38/229.73 = 133.78/x
  3. Step 3: Cross multiply
    166.38x = 229.73 × 133.78
  4. Step 4: Simplify right side
    166.38x = 30,732.13
  5. Step 5: Solve for x
    x = 30,732.13/166.38
  6. Step 6: Final answer
    x = 184.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.